Comptes Rendus
no. 7
Non-linear creep modeling of short-fiber composites using Hermite polynomials, hyperbolic trigonometric functions and power series
Mehdi Mondali1  ; Vahid Monfared2  ; Ali Abedian3
1 Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 Department of Mechanical Engineering, Zanjan Branch, Islamic Azad University, Zanjan, Iran
3 Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran
Comptes Rendus. Mécanique, Volume 341 (2013) no. 7, pp. 592-604.

A novel analytical model is presented for analyzing the steady-state creep in short-fiber composites under axial load utilizing the previous shear-lag theory, the imaginary fiber technique and also new approaches of Hermite polynomials, hyperbolic trigonometric functions and power series. The steady-state creep behavior of the matrix is described by an exponential law, while the fibers behave elastically. In this model, in spite of the previous researches, some unknowns such as shear stress, displacement rates, and creep strain rates are correctly determined in all regions of the unit cell without using any further assumptions. In comparison with previous analytical approaches, the results of the present work are closer to the FEM simulations. This strong method can be used in various problems in applied physics and mechanics such as elastic and plastic analysis of nano-composites.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2013.04.004
Mots clés : Steady-state creep, Short-fiber composite, Hermite polynomials, Hyperbolic trigonometric functions, Power series, FEM
Mehdi Mondali 1 ; Vahid Monfared 2 ; Ali Abedian 3

1 Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran
2 Department of Mechanical Engineering, Zanjan Branch, Islamic Azad University, Zanjan, Iran
3 Department of Aerospace Engineering, Sharif University of Technology, Tehran, Iran 
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Mehdi Mondali; Vahid Monfared; Ali Abedian. Non-linear creep modeling of short-fiber composites using Hermite polynomials, hyperbolic trigonometric functions and power series. Comptes Rendus. Mécanique, Volume 341 (2013) no. 7, pp. 592-604. doi : 10.1016/j.crme.2013.04.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2013.04.004/

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